Finding the Third Proportional to 33,645.38 and 38,566.13

Step by Step Solution

1. Step 1: Write the proportion equation
   33,645.38 : 38,566.13 = 38,566.13 : x
2. Step 2: Convert to fraction form
   33,645.38/38,566.13 = 38,566.13/x
3. Step 3: Cross multiply
   33,645.38x = 38,566.13 × 38,566.13
4. Step 4: Simplify right side
   33,645.38x = 1,487,345,997.52
5. Step 5: Solve for x
   x = 1,487,345,997.52/33,645.38
6. Step 6: Final answer
   x = 44,206.55